982792020 has 144 divisors (see below), whose sum is σ = 3311763840. Its totient is φ = 216873216.

The previous prime is 982792003. The next prime is 982792051. The reversal of 982792020 is 20297289.

982792020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 982792020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79497 + ... + 91023.

It is an arithmetic number, because the mean of its divisors is an integer number (22998360).

Almost surely, 2^982792020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982792020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655881920).

982792020 is an abundant number, since it is smaller than the sum of its proper divisors (2328971820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

982792020 is a wasteful number, since it uses less digits than its factorization.

982792020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 982792020 is about 31349.5138718290. The cubic root of 982792020 is about 994.2307868535.

The spelling of 982792020 in words is "nine hundred eighty-two million, seven hundred ninety-two thousand, twenty".